Two-Way ANCOVA For 2x2 Independent Samples

Factorial Analysis of Covariance for 2x2 Independent Samples

This page will perform an analysis of covariance for four independent samples, cross-tabulated according to two independent variables, A and B, where

A₁ and A₂ represent two quantitative or categorical levels of the independent variable A;
B₁ and B₂ represent two quantitative or categorical levels of the independent variable B;
DV = the dependent variable of interest; and
CV = the concomitant variable whose effects one wishes to bring under statistical control.

Procedure: For each sample, enter the paired values of CV and DV in the cells of the designated columns, beginning in the top-most cell of each column. Within any particular column, pressing the "tab" key will take you down to the next cell in the column. After all data have been entered, click the "Calculate" button. ~~ If you wish to perform another analysis with a different set of data: click the "Reset" button if the value of n for the largest of your new samples is or smaller; click the "Reload" button if the value of n for the largest of the new samples is greater than .

Data Entry:
CV = concomitant variable
DV = dependent variable

	B₁		B₂
	CV	DV	CV	DV
A₁
A₂

Dependent Variable: Values of n for Cells and Marginals
	B₁	B₂	Totals
A₁
A₂
Totals

Dependent Variable: Observed Means
	B₁	B₂	Totals
A₁
A₂
Totals

Dependent Variable: Adjusted Means
	B₁	B₂	Totals
A₁
A₂
Totals

Aggregate Correlation within Samples: CV vs DV
r =	r² =

ANCOVA SUMMARY

Source	SS	df	MS	F	P
adjusted A
adjusted B
adjusted AxB
adjusted error

Test for homogeneity of regressions:

Source	SS	df	MS	F	P
between regressions
remainder
adjusted error

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